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What is the Least Common Multiple of 62225 and 62237?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 62225 and 62237 is 3872697325.

LCM(62225,62237) = 3872697325

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Least Common Multiple of 62225 and 62237 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62225 and 62237, than apply into the LCM equation.

GCF(62225,62237) = 1
LCM(62225,62237) = ( 62225 × 62237) / 1
LCM(62225,62237) = 3872697325 / 1
LCM(62225,62237) = 3872697325

Least Common Multiple (LCM) of 62225 and 62237 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62225 and 62237. First we will calculate the prime factors of 62225 and 62237.

Prime Factorization of 62225

Prime factors of 62225 are 5, 19, 131. Prime factorization of 62225 in exponential form is:

62225 = 52 × 191 × 1311

Prime Factorization of 62237

Prime factors of 62237 are 7, 17, 523. Prime factorization of 62237 in exponential form is:

62237 = 71 × 171 × 5231

Now multiplying the highest exponent prime factors to calculate the LCM of 62225 and 62237.

LCM(62225,62237) = 52 × 191 × 1311 × 71 × 171 × 5231
LCM(62225,62237) = 3872697325